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Finding the Third Proportional to 461,848.50 and 735,459.75

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Solution

The third proportional to 461,848.50 and 735,459.75 is: 1,171,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,848.50 : 735,459.75 = 735,459.75 : x
  2. Step 2: Convert to fraction form
    461,848.50/735,459.75 = 735,459.75/x
  3. Step 3: Cross multiply
    461,848.50x = 735,459.75 × 735,459.75
  4. Step 4: Simplify right side
    461,848.50x = 540,901,043,870.06
  5. Step 5: Solve for x
    x = 540,901,043,870.06/461,848.50
  6. Step 6: Final answer
    x = 1,171,165.53

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.